We describe the Calegari-Geraghty method for proving modularity lifting theorems beyond the classical setting of the Taylor-Wiles method. We discuss the three conjectures that this method relies on (existence of Galois representations, local-global compatibility and vanishing of cohomology outside a certain range of degrees) and their current status, and then explain the commutative algebra underlying the method.
De Pierre-Henri Chaudouard
De Pierre-Henri Chaudouard
De Lucas Mason-Brown
De Xinwen Zhu
De Xinwen Zhu
De Xinwen Zhu
De Tasho Kaletha
De Bao Chau Ngo
De Bao Chau Ngo
De Tasho Kaletha
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Bao Chau Ngo
De Sam Raskin
De Sam Raskin
De Peter Scholze , Laurent Fargues
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Jean-François Dat
De Jessica Fintzen
De Peter Scholze , Laurent Fargues
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Jessica Fintzen
De Jean-François Dat
De Peter Scholze , Laurent Fargues
De David Ben-Zvi
De Michael Harris , Tony Feng
De Yiannis Sakellaridis
De Michael Harris , Tony Feng
De Yiannis Sakellaridis
De Michael Harris , Tony Feng
De Ana-Maria Castravet
De Ana-Maria Castravet
De Ana-Maria Castravet
